Clothes Spending
In Exercise you could not reject the null hypothesis that the mean amount spent by men and the mean amount spent by women for clothing are the same, using a two-tailed test with a significance level of 0.05.
a. If you found a 95% confidence interval for the difference between means, would it capture 0? Explain.
b. If you found a 99% confidence interval, would it capture 0? Explain.
c. Now go back to Exercise 9.63. Find a 95% confidence interval for the difference between means, and explain what it shows.
Exercise
Clothes Spending A random sample of 14 college women and a random sample of 19 college men were separately asked to estimate how much they spent on clothing in the last month. The table shows the data.
Test the hypothesis that the population mean amounts spent on clothes are different for men and women. Use a significance level of 0.05. Assume that the distributions are Normal enough for us to use the t-test.
